493520 has 40 divisors (see below), whose sum is σ = 1190400. Its totient is φ = 190080.

The previous prime is 493481. The next prime is 493523. The reversal of 493520 is 25394.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493523) by changing a digit.

493520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2381 + ... + 2579.

It is an arithmetic number, because the mean of its divisors is an integer number (29760).

2⁴⁹³⁵²⁰ is an apocalyptic number.

493520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595200).

493520 is an abundant number, since it is smaller than the sum of its proper divisors (696880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

493520 is a wasteful number, since it uses less digits than its factorization.

493520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 493520 is about 702.5097864087. The cubic root of 493520 is about 79.0256819776.

The spelling of 493520 in words is "four hundred ninety-three thousand, five hundred twenty".